<exercise masterit-seed="4881" masterit-slug="C2" masterit-name="Non-homogeneous first-order linear ODE">
<statement>
<p>Explain how to find the general solution to the given ODE.</p>
<me> 3 \, {y} = 18 \, \cos\left(-2 \, t\right) e^{t} + 3 \, {y'} </me>
</statement>
<answer>
<me> {y} = k e^{t} + 3 \, e^{t} \sin\left(-2 \, t\right) </me>
</answer>
</exercise>
